Finding the Fourth Proportional to 10,563.60, 14,578.12 and 5,848.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,563.60 : 14,578.12 = 5,848.32 : x
2. Step 2: Convert to fraction form
   10,563.60/14,578.12 = 5,848.32/x
3. Step 3: Cross multiply
   10,563.60x = 14,578.12 × 5,848.32
4. Step 4: Simplify right side
   10,563.60x = 85,257,510.76
5. Step 5: Solve for x
   x = 85,257,510.76/10,563.60
6. Step 6: Final answer
   x = 8,070.88